How Do You Do Limits with Square Roots?

In section 1.3, you’ll be learning how to compute limits using algebra. There are several examples that involve factoring and fractions, but none with square roots. There are several ways to simplify expressions like \displaystyle \frac{\sqrt{x}-1}{x-1}. In the handout below, we’ll look at limits involving this fraction.

Other limits that have square roots can be handled with similar strategies.